Real space inhomogeneities in high temperature superconductors: the perspective of two-component model

TL;DR

This paper uses a two-component model solved via Bogoliubov-de Gennes equations to explore how real space inhomogeneities and disorder affect high temperature superconductors, explaining experimental observations.

Contribution

It introduces a detailed real space analysis of disorder effects in a two-component superconductor model, linking impurity effects to local superconducting properties.

Findings

Disorder causes local variations in the superconducting gap and density of states.

Impurities primarily modify boson energies, explaining positive correlations with the order parameter.

The model aligns with scanning tunnelling microscopy experimental results.

Abstract

The two-component model of high temperature superconductors in its real space version has been solved using Bogoliubov-de Gennes equations. The disorder in the electron and boson subsystem has been taken into account. It strongly modifies the superconducting properties and leads to local variations of the gap parameter and density of states. The assumption that the impurities mainly modify boson energies offers natural explanation of the puzzling positive correlation between the positions of impurities and the values of the order parameter found in the scanning tunnelling microscopy experiments.